2 lines intersect. A line with points R, S, U intersects a line with points V, S, T at point S.
In the diagram, which angles form a linear pair? Select three options.

AngleRST and AngleRSV
AngleRST and AngleTSU
AngleRST and AngleVSU
AngleTSU and AngleUSV
AngleTSU and AngleRSV

In this diagram, two lines intersect at point \( S \). When two lines intersect, the angles around the point of intersection often form **linear pairs**, which are adjacent angles whose measures sum to 180 degrees.

Given the points \( R, S, U \) on one line and \( V, S, T \) on the other, let's evaluate which angles form linear pairs:

1. **Angle RST and Angle RSV**:  
   - \( \angle RST \) and \( \angle RSV \) share a common side (segment \( RS \)) and are adjacent. They form a linear pair.  
   **This is a correct option.**

2. **Angle RST and Angle TSU**:  
   - These two angles do not share a common side and are not adjacent. They do not form a linear pair.  
   **This is not a correct option.**

3. **Angle RST and Angle VSU**:  
   - These two angles do share a common side (segment \( ST \)) and are adjacent. They form a linear pair.  
   **This is a correct option.**

4. **Angle TSU and Angle USV**:  
   - These two angles share a common side (segment \( SU \)) and are adjacent. They form a linear pair.  
   **This is a correct option.**

5. **Angle TSU and Angle RSV**:  
   - These two angles do not share a common side and are not adjacent. They do not form a linear pair.  
   **This is not a correct option.**

### Correct options:
- **Angle RST and Angle RSV**
- **Angle RST and Angle VSU**
- **Angle TSU and Angle USV**

Would you like more details or have any questions? 

Here are 5 questions to further explore this concept:
1. What are adjacent angles in the context of intersecting lines?
2. How can you identify vertical angles when two lines intersect?
3. What is the relationship between supplementary angles and linear pairs?
4. Can angles that are not adjacent form a linear pair?
5. How do you calculate the measures of unknown angles when given one angle in a linear pair?

**Tip:** Linear pairs always form supplementary angles, so their measures always add up to 180 degrees.

2 lines intersect. A line with points R, S, U intersects a line with points V, S, T at point S. In the diagram, which angles form a linear pair? Select three options.

Angle RST and Angle RSV
Angle RST and Angle TSU
Angle RST and Angle VSU
Angle TSU and Angle USV
Angle TSU and Angle RSV

Learn how to identify linear pairs of angles when two lines intersect at a point. This problem involves angles formed by intersecting lines and evaluates adjacent angles to determine which form linear pairs. Suitable for students in Grades 8-10.

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